Question

What is the difference between the graph of exponential growth function and exponential Decay function?

Answer 1

Hint: To solve the question like this we need to have the knowledge of exponential decay function and exponential growth function. Exponential growth functions are basically that kind of function which increases exponentially with time while in case of exponential decay function these are the functions which actually decrease with time.

Complete step-by-step solution:
The question asks us to differentiate between the exponential growth function and exponential decay function graphs. Exponential growth function is defined as the way, when the number of some entity increases rapidly in exponential manner over the time. Ancient growth mathematical function is one such exponential function in which numbers multiply in size as time progresses. The representation of the above explanation in form of the graph is shown below:

The above graph increases with the time. The graph at $\text{time =0}$ is near to the time axis and as the time is increasing the population is increasing with the time exponentially.
We can define Decay function as the function in which the numbers decrease over the time in exponential function. The representation of the above explanation in form of the graph is shown below:

The above graph decreases with the time. The graph at the $\text{time=0}$ is away from the time axis and as the time is increasing the y- coordinates are decreasing with the time exponentially.

Note: The trend that is evident in exponential growth is increasingly large numbers over time. The trend in decay is the reverse of that seen with exponential growth and instead, it is increasingly small numbers over time.